Gravitation Question 188
The rotation period of an earth satellite close to the surface of the earth is 84 minutes. The time period of another earth satellite in an orbit at a distance of three earth radii from its surface will be[MP PMT 1994]
Options:
A) 83 minutes
B) $ [83\times \sqrt{8}] $ minutes
C) 664 minutes
D) 249 minutes
Show Answer
Answer:
Correct Answer: C
Solution:
For first satellite $ [r_{1}=R] $ and $ [T_{1}=83\ minute] $ For second satellite $ [r_{2}=4R] $ $ [T_{2}=T_{1}{{\left( \frac{r_{2}}{r_{1}} \right)}^{3/2}}=T_{1}{{(4)}^{3/2}}=8T_{1}=8\times 83] $ =664 minutes
BETA
